Co-Axial Metrics on the Sphere and Algebraic Numbers
In this paper, we consider the following curvature equation Δ + eᵘ = 4π ((₀ − 1)δ₀ + (₁−1)δ₁ + ∑ⁿ⁺ᵐⱼ₌₁(′ⱼ − 1)δₜⱼ)in ℝ², () = −2(1+∞)ln|| + O(1) as || → ∞, where ₀, ₁, ∞, and ′ⱼ are positive non-integers for 1 ≤ j ≤ , while ′ⱼ ∈ ℕ≥₂ are integers for + 1 ≤ j ≤ + . Geometrically, a solution gives r...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212155 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Co-Axial Metrics on the Sphere and Algebraic Numbers. Zhijie Chen, Chang-Shou Lin and Yifan Yang. SIGMA 20 (2024), 040, 30 pages |